AI generatedAlgebraGCSE Higher / IGCSE Extended

Multiplying algebraic fractions

Factorise first so every numerator and denominator is written as a product.

  • Factorise first so every numerator and denominator is written as a product.
  • Cancel common factors across the numerator and denominator products.
  • Multiply what remains. State all values excluded by the original denominators.

Example 1

Simplify. State any excluded values.

Factorise the difference of two squares.Write one product over one product.Cancel the two complete common factors.

Example 2

Simplify. State any excluded values.

Factorise the difference of two squares.Write one product over one product.Cancel the two complete common factors.

Remember
Use the worked steps to check your method, not just the final answer.

Your turn

Question 1

Simplify. State any excluded values.

Check answer
Factorise the difference of two squares.Write one product over one product.Cancel the two complete common factors.

Restrictions from the original expression: , .

Question 2

Simplify. State any excluded values.

Check answer
Factorise the difference of two squares.Write one product over one product.Cancel the two complete common factors.

Restrictions from the original expression: , .

Question 3

Simplify. State any excluded values.

Check answer
Factorise the difference of two squares.Write one product over one product.Cancel the two complete common factors.

Restrictions from the original expression: , .

Question 4

Simplify. State any excluded values.

Check answer
Factorise the difference of two squares.Write one product over one product.Cancel the two complete common factors.

Restrictions from the original expression: , .

Question 5

Simplify. State any excluded values.

Check answer
Factorise the difference of two squares.Write one product over one product.Cancel the two complete common factors.

Restrictions from the original expression: , .

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